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Finding the Fourth Proportional to 20,596.27, 30,896.81 and 7,454.83

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Solution

The fourth proportional to 20,596.27, 30,896.81 and 7,454.83 is: 11,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.27 : 30,896.81 = 7,454.83 : x
  2. Step 2: Convert to fraction form
    20,596.27/30,896.81 = 7,454.83/x
  3. Step 3: Cross multiply
    20,596.27x = 30,896.81 × 7,454.83
  4. Step 4: Simplify right side
    20,596.27x = 230,330,466.09
  5. Step 5: Solve for x
    x = 230,330,466.09/20,596.27
  6. Step 6: Final answer
    x = 11,183.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.